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311420320 = 2551946377
BaseRepresentation
bin10010100011111…
…110010110100000
3210200222210100221
4102203332112200
51114210422240
650522452424
710501012651
oct2243762640
9720883327
10311420320
1114a874772
1288364114
134c698ca3
142d507528
151c517a4a
hex128fe5a0

311420320 has 24 divisors (see below), whose sum is σ = 735730884. Its totient is φ = 124568064.

The previous prime is 311420287. The next prime is 311420321. The reversal of 311420320 is 23024113.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 249766416 + 61653904 = 15804^2 + 7852^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 311420294 and 311420303.

It is not an unprimeable number, because it can be changed into a prime (311420321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 973029 + ... + 973348.

Almost surely, 2311420320 is an apocalyptic number.

It is an amenable number.

311420320 is an abundant number, since it is smaller than the sum of its proper divisors (424310564).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311420320 is a wasteful number, since it uses less digits than its factorization.

311420320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946392 (or 1946384 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 311420320 is about 17647.1051450372. The cubic root of 311420320 is about 677.8219817289.

Adding to 311420320 its reverse (23024113), we get a palindrome (334444433).

The spelling of 311420320 in words is "three hundred eleven million, four hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1946377 3892754 7785508 9731885 15571016 19463770 31142032 38927540 62284064 77855080 155710160 311420320